The measures of the angles in a triangle arein the ratio of 2:2:4. Find the exterior angle that is adjacent to the largest angle.
Let the measures of the angles be 2x, 2x, and 4x, where x is a constant. The sum of the interior angles in a triangle is 180 degrees, so we have:
2x + 2x + 4x = 180
8x = 180
x = 22.5
Therefore, the measures of the angles are:
2x = 2 * 22.5 = 45 degrees
2x = 2 * 22.5 = 45 degrees
4x = 4 * 22.5 = 90 degrees
The largest angle is 90 degrees. An exterior angle of a triangle is equal to the sum of the two opposite interior angles, so the exterior angle adjacent to the largest angle will be:
45 + 45 = 90 degrees
Therefore, the exterior angle that is adjacent to the largest angle is equal to 90 degrees.